document.write( "Question 98193: Find two consecutive integers such that the sum of their squares is 5. How do I solve this problem? \n" ); document.write( "
Algebra.Com's Answer #71409 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=one integer
\n" ); document.write( "Then x+1 is the other integer\r
\n" ); document.write( "\n" ); document.write( "Now we are told that x^2+(x+1)^2=5 get rid of parens\r
\n" ); document.write( "\n" ); document.write( "x^2+x^2+2x+1=5 subtract 5 from both sides\r
\n" ); document.write( "\n" ); document.write( "x^2+x^2+2x+1-5=0 combine like terms\r
\n" ); document.write( "\n" ); document.write( "2x^2+2x-4=0 quadratic in standard form and it can be factored:\r
\n" ); document.write( "\n" ); document.write( "(2x+4)(x-1)=0
\n" ); document.write( "2x=-4
\n" ); document.write( "x=-2
\n" ); document.write( "x+1=-1
\n" ); document.write( "and
\n" ); document.write( "x=1
\n" ); document.write( "x+1=2\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "(-2)^2+(-1)^2=5
\n" ); document.write( "4+1=5
\n" ); document.write( "5=5
\n" ); document.write( "and1^2+2^2=5
\n" ); document.write( "1+4=5
\n" ); document.write( "5=5\r
\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r
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